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Abstract
For the mesoscopic capacitance coupling LC circuit, the Hamiltonian is given by the canonical quantization. The Hamiltonian operator is diagonalized by a unitary transformation. The ensemble average energy and its fluctuations are derived by ensemble theory. In virtue of the generalized Hellmann-Feynman theorem, the quantum fluctuations of charge and self-conductance magnetic flux for the system at finite temperature are investigated. It is found that, the quantum fluctuations of charge and self-conductance magnetic flux depend on the temperature as well as the parameters of the circuit components.

Keywords:
mesoscopic circuit/

quantum fluctuation/

generalized Hellmann-Feynman theorem/

finite temperature
Authors and contacts
Su Jie,

Wang Ji-Suo,

Liang Bao-Long,

Zhang Xiao-Yan

1.
References

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Vol. 57, Issue 11 - 2008-06-05

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